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234825800 = 235211106739
BaseRepresentation
bin11011111111100…
…10100001001000
3121100212101102212
431333302201020
5440103411200
635145044252
75550662216
oct1577624110
9540771385
10234825800
1111060a110
1266786688
133985b9a1
1423289cb6
1515938035
hexdff2848

234825800 has 48 divisors (see below), whose sum is σ = 595609200. Its totient is φ = 85390400.

The previous prime is 234825797. The next prime is 234825803. The reversal of 234825800 is 8528432.

It is an interprime number because it is at equal distance from previous prime (234825797) and next prime (234825803).

It is not an unprimeable number, because it can be changed into a prime (234825803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51170 + ... + 55569.

It is an arithmetic number, because the mean of its divisors is an integer number (12408525).

Almost surely, 2234825800 is an apocalyptic number.

234825800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234825800 is an abundant number, since it is smaller than the sum of its proper divisors (360783400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

234825800 is a wasteful number, since it uses less digits than its factorization.

234825800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106766 (or 106757 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 234825800 is about 15324.0268859070. The cubic root of 234825800 is about 616.9480608465.

The spelling of 234825800 in words is "two hundred thirty-four million, eight hundred twenty-five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 106739 213478 426956 533695 853912 1067390 1174129 2134780 2348258 2668475 4269560 4696516 5336950 5870645 9393032 10673900 11741290 21347800 23482580 29353225 46965160 58706450 117412900 234825800